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Finding the Fourth Proportional to 1,680.06, 2,318.14 and 981.30

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Solution

The fourth proportional to 1,680.06, 2,318.14 and 981.30 is: 1,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.06 : 2,318.14 = 981.30 : x
  2. Step 2: Convert to fraction form
    1,680.06/2,318.14 = 981.30/x
  3. Step 3: Cross multiply
    1,680.06x = 2,318.14 × 981.30
  4. Step 4: Simplify right side
    1,680.06x = 2,274,776.74
  5. Step 5: Solve for x
    x = 2,274,776.74/1,680.06
  6. Step 6: Final answer
    x = 1,353.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.